化简(x2-1x2-2x+1+1-xx+1)÷xx-1的结果是______.-数学

题目简介

化简(x2-1x2-2x+1+1-xx+1)÷xx-1的结果是______.-数学

题目详情

化简(
x2-1
x2-2x+1
+
1-x
x+1
x
x-1
的结果是______.
题型:填空题难度:中档来源:不详

答案

原式=[
(x+1)(x-1)
(x-1)2
-class="stub"x-1
x+1
]•class="stub"x-1
x

=class="stub"x+1
x
-
(x-1)2
x(x+1)

=
(x+1)2-(x-1)2
x(x+1)

=class="stub"4x
x(x+1)

=class="stub"4
x+1

故答案为:class="stub"4
x+1

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